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Finding the Fourth Proportional to 229,497.86, 316,608.82 and 143,307.22

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Solution

The fourth proportional to 229,497.86, 316,608.82 and 143,307.22 is: 197,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,497.86 : 316,608.82 = 143,307.22 : x
  2. Step 2: Convert to fraction form
    229,497.86/316,608.82 = 143,307.22/x
  3. Step 3: Cross multiply
    229,497.86x = 316,608.82 × 143,307.22
  4. Step 4: Simplify right side
    229,497.86x = 45,372,329,821.68
  5. Step 5: Solve for x
    x = 45,372,329,821.68/229,497.86
  6. Step 6: Final answer
    x = 197,702.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.